Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120bd |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
135360 = 26 · 32 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2820,-58590] |
[a1,a2,a3,a4,a6] |
Generators |
[369:7020:1] |
Generators of the group modulo torsion |
j |
38765470475584/2115 |
j-invariant |
L |
7.1305747297307 |
L(r)(E,1)/r! |
Ω |
0.65512541227786 |
Real period |
R |
5.4421448138725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120n1 22560i4 |
Quadratic twists by: -4 8 |